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100210000019 is a prime number
BaseRepresentation
bin101110101010011111…
…0110100000010010011
3100120122210210110010012
41131110332310002103
53120212230000034
6114011424025135
710145203642313
oct1352476640223
9316583713105
10100210000019
1139553a29238
12175081621ab
1395b01885cc
144bc8cc7443
1529178bbcce
hex1754fb4093

100210000019 has 2 divisors, whose sum is σ = 100210000020. Its totient is φ = 100210000018.

The previous prime is 100209999979. The next prime is 100210000039. The reversal of 100210000019 is 910000012001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100210000019 - 212 = 100209995923 is a prime.

It is a super-2 number, since 2×1002100000192 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100209999958 and 100210000012.

It is not a weakly prime, because it can be changed into another prime (100210000039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105000009 + 50105000010.

It is an arithmetic number, because the mean of its divisors is an integer number (50105000010).

Almost surely, 2100210000019 is an apocalyptic number.

100210000019 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210000019 is an equidigital number, since it uses as much as digits as its factorization.

100210000019 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

The spelling of 100210000019 in words is "one hundred billion, two hundred ten million, nineteen", and thus it is an aban number.